Answer:
612 adults & 361 students
Step-by-step explanation:
An icicle is 12 inches long and melts at a rate of 1/4 inch per hour
Answer:
It will take 48 hours for the entire icicle to melt.
Step-by-step explanation:
12 divided by 1/4 = 48
The linear equation to model the situation is f(x) = -1/4x + 12
Complete questionWrite a linear equation in slope-intercept form to model the situation. An icicle is 12 inches long and melts at a rate of 1/4 inch per hour.
How to determine the linear equation?The given parameters are:
Length = 12 inchesRate = 1/4 inch per hourThe above means that:
Y-intercept (c) = 12Slope (m) = -1/4A linear equation is represented as:
f(x) = mx + c
Where f(x) represents the function and x represents the number of hours.
So, we have:
f(x) = -1/4x + 12
Hence, the linear equation to model the scenario is f(x) = -1/4x + 12
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Lola pulls two marbles from a bag containing four red marbles, four blue marbles, and 12 yellow marbles without replacing them.
What is the probability that she pulled out a red marble first and a yellow marble second? Express your answer in decimal form, rounded to the nearest hundredth.
0.09
0.13
0.25
0.32
Answer:
It's the second option, 0.13.
Step-by-step explanation:
Step 1 : Find how many marbles there are in the bag all together.
4 + 4 + 12 = 20 marbles all together
Step 2 : Find what the probability of choosing a red marble is first.
4 red marbles out of 20 marbles =
[tex]P_{1} = \frac{4}{20}[/tex]
Step 3 : Find the probability of choosing a yellow marble now.
Since one red marble was already taken, there are less marbles in total.
Instead of 20 marbles now there are only 19 marbles.
There are 12 yellow marbles out of 19 marbles =
[tex]P_{2} = \frac{12}{19}[/tex]
Step 4 : To get the probability of both of these events happening, we multiply the 2 probabilities.
[tex]\frac{4}{20}[/tex] · [tex]\frac{12}{19}[/tex] = [tex]\frac{12}{95}[/tex]
Step 5 : Express your answer as a decimal.
12 ÷ 95 = 0.12631578947
Rounded to the nearest hundreth that's 0.13.
It's the second option, 0.13.
Hope this helps, please mark brainliest if possible. Have a nice day. :)
The probability of choosing a red and then a yellow marble is 0.13.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
It is given that Lola pulls two marbles from a bag containing four red marbles, four blue marbles, and 12 yellow marbles without replacing them.
That means that there are a total of 4+4+12=20 marbles.
Now to find the probability that she pulled out a red marble first and a yellow marble second.
The probability of choosing a red marble out of 20 marbles is:
P = 4/ 20
The probability of choosing a yellow marble on the second draw is:
P = 12/19
Hence, the probability of choosing a red and then a yellow marble is:
P = 4/ 20 x 12/19
P = 0.13
Hence, the probability of choosing a red and then a yellow marble is 0.13.
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The two congruent angles in an isosceles triangle measure 3X + 10o and 5X - 16o . What value of X makes this relationship true?
The value of x will be equal to 13 degrees.
What is a congruent angle?In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other. The meaning of congruency is that the two shapes are similar as well as equal in size.
Angles that are identical to one another are referred to as congruent angles. As a result, these angles have the same measure as one another.
Given that the two congruent angles in an isosceles triangle measure 3X + 10 and 5X - 16.
The value of x will be calculated by equating the two angles.
3X + 10 = 5X - 16.
5X - 3X = 16 + 10
2X = 26
X = 26 / 2 = 13
Therefore, the value of x will be equal to 13 degrees.
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The population of a city increases by 15% every year. If its population today is
200,000, write an equation that shows where its population will be in 2 years?
Answer:
Step-by-step explanation:
P=200000
P x .15 =x (30000)
2x=y (60000)
P + y= (200000+60000) 260000
Answer:
The equation is :
[tex]A = 200000 ( 1 + 0.15)^2[/tex]
Step-by-step explanation:
Let population in 2 years be A
Current population be P = 200,000
Rate of increase, r = 15% = 0.15
Time, t = 2years
Therefore,
[tex]A= P(1 + r)^t[/tex]
[tex]A = 200000 ( 1 + 0.15)^2[/tex]
[tex]=264500[/tex]
Population after 2 years will be 264,500
please help asap. 0 0 0 0 0
Answer:
smaller x =5
largee x =13
vertex of the parabola = (-7,-4)
What is the product?
(4y − 3)(2y2 + 3y − 5)
Anyone know the answer??? Not sure how to solve with only 1/3 for pythag (I am used to having 2/3 for pythag
Answer:
≈16.22
Step-by-step explanation:
AC-AD=DC
35^2-10^2=1125
√1125=15√5=AC
To find AD, you will need to use the 30, 60, 90 triangle rule.
Because of this rule, AD will be 10√3
15√5-10√3≈16.22
Xavier is buying a new pair of snowshoes. They are regularly $85, but they are on sale for $68. What percent is the markdown?
Answer:
25%
Step-by-step explanation:
The discount percent markdown on the shoes is 20%.
What is the percentage?The percentage is a ratio that can be expressed as a fraction of 100.
Given that, the regular price of the shoes is $85 and the sale price is $68.
The difference between the regular price and the sale price is:
85 - 68
= 17
Therefore, 17 is reduced from the regular price of $85, the percentage decrease is given by:
(17/85) × 100%
= 20%
Hence, the discount percent markdown on the shoes is 20%.
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Given ix) = 17 - x2, what is the average rate of change in f(x) over the interval [1, 5]?
======================================================
Explanation:
Plug in x = 1
f(x) = 17-x^2
f(1) = 17-1^2
f(1) = 17-1
f(1) = 16
Repeat for x = 5 to find that f(5) = -8
Now we'll use the formula below to find the average rate of change from x = a to x = b.
[tex]m = \frac{f(b)-f(a)}{b-a}\\\\m = \frac{f(5)-f(1)}{5-1}\\\\m = \frac{-8-16}{4}\\\\m = \frac{-24}{4}\\\\m = -6\\\\[/tex]
The average rate of change is -6
The formula is basically the slope formula, more or less. So that's why I used 'm' to represent the average rate of change.
The average rate of change on the interval [1,5] is the same as finding the slope through the lines (1, 16) and (5, -8)
What is the slope of the line represented by the equation y=-1/2x+1/4?
Answer:
The slop is - 1/2
Step-by-step explanation:
The slop is what x is multiplied by,
Bonus: What you add is the y interspet , in this case 1/4
Please help I am confused. (30 points)
Module 2: Directions: Respond to this question to demonstrate your understanding of the topic/content. Be sure to provide adequate and relevant details learned in the module to support your response. Pay close attention to organizing your response so it makes sense and uses correct grammar. Your response should be at least 5-7 sentences at a minimum.
Question: Triangle ABC: A(0, -1), B(0, 3) C(-3, 3) is transformed to triangle A'B'C': A'(5,0) B'(2,4) C'(5,4). Is this transformation a rigid motion? Explain how you know whether it is a rigid motion or not.
E)6,2 is la reposta espero te sirva Friends
Step-by-step explanation:
tanks por los points
Can anyone help me out?
Answer:
55° because 2and 6 are corresponding angles (they are equal)
6 and 8 are vertically opposite angles (they are equal)
Step-by-step explanation:
hope this is helpful
2x=84 what is the value of x
Answer:
42
Step-by-step explanation:
Since 2x is multiplication, you have to do the inverse (opposite) of that. The opposite of multiplication is division. You have to divide 2 with 84 to find x.
2x=84
---- ----
2 2
x=42
PLS HELPSSSPSPSPSSPSP What is the congruence correspondence, if any, that will prove the given triangles congruent?
A)ASA
B)AAS
C)HL
D)SAS
Answer:
D
since we know two sides and one angle
hope it helps!
Step-by-step explanation:
. In a class of students the ratio of the number of students who like to play football and the number of students who like to play volleyball is 5:3. If the number of students who like volleyball only is 15 and the number of students who like football only is 35, then a. Find the number of students who like both games
Answer:
https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/intro-to-ratios/v/ratios-intro
to form 5 - 4x from x :
to solve 5 - 4x = 17:
the solution to the equation 5-4x=17 is :
Answer:
x = -3
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
5-4*x-(17)=0
1.1 Pull out like factors :
-12 - 4x = -4 • (x + 3)
2.1 Solve : -4 = 0
This equation has no solution.
A a non-zero constant never equals zero. 2.2 Solve : x+3 = 0
Subtract 3 from both sides of the equation :
x = -3
In a bag there are blue sweets and red sweets. The ratio of blue sweets to red sweets is 5:3 What fraction of the sweets are blue?
Answer:
5/8
Step-by-step explanation:
SUM OF RATIOS = 5 + 3 = 8
fraction of blue sweet = blue sweet ratio / sum of ratios = 5/8
All i need is the answer and any other information, i will rate give thanks, and maybe a brainliest. Help quickly!!!
Answer:
4 and 3/4
Step-by-step explanation:
Multiplying 3/4 times 5 days will give you 3.75 hours (or 3 and 3/4ths)
1/2 times 2 days will give you one hour
adding these together will give you 4.75 or 4 and 3/4ths
Answer:
C
Step-by-step explanation:
3/4 * 5 + 1/2 * 2 = 15/4 + 1 = (15+4)/4 = 19/4 = 4.75 = 4 3/4
Express as decimal: Five hundred thirty four point two thousandths
Answer:
534.002
Step-by-step explanation:
in the d decimal thing it goes point tenths, hundredths, then thousandths if that makes since
Answer:
534.002
Step-by-step explanation:
I think
What is the value of x?
90°
A 110
B
135
C 315
D
522
105°
145°
1150
130°
Answer:
B
Step-by-step explanation:
The sum of the interior angles of a polygon is given by the formula s=180(n-2), where s is the sum and n is the number of sides.
In this case, the polygon has 6 sides, so s=180(6-2) or s=180×4, which equals 720.
To work out x, subtract all the other values from this amount, so x=720-90-105-130-145-115, or x=720-585. This equals 135°, so the answer is B.
**This content involves interior angles of irregular polygons, which you may wish to revise. I'm always happy to help!
Answer:
B) 135
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The quotient of a number and 3, increased by 4 is 5, what is the expression
Answer: The answer would be 3 +n +4 = 5
Step-by-step explanation:
Welcome
Answer:
see explanation
Step-by-step explanation:
let the number be n , then
[tex]\frac{n}{3}[/tex] + 4 = 5
On a math exam, Joel had a score of 90, which was exactly 2 standard deviations above the mean. The standard deviation for the test is 3.
Answer:
84
Step-by-step explanation:
Score = 90
Standard deviation = 3
Score = mean + 2(standard deviation)
90 = mean + 2(3)
90 = mean + 6
Mean = 90 - 6
Mean = 84
Hannah has a part-time job making holiday wreaths. This week, she made x medium wreaths, twice as many large wreaths as medium wreaths, and 12 as many small wreaths as medium wreaths. In terms of x, how many wreaths did Hannah make this week?
Answer:
Total number of wreaths = 3.5 wreaths
Step-by-step explanation:
Given:
Number of medium wreaths = x
Number of larger wreaths = 2[Number of medium wreaths]
Number of small wreaths = [1/2][Number of medium wreaths]
Find:
Total number of wreaths
Computation:
Total number of wreaths = Number of medium wreaths + Number of large wreaths + Number of small wreaths
Total number of wreaths = Number of medium wreaths + 2[Number of medium wreaths] + [1/2][Number of medium wreaths]
Total number of wreaths = x + 2x + 0.5x
Total number of wreaths = 3.5 wreaths
linear or nonlinear!?
Answer:
nonlinear
Step-by-step explanation:
Find the equation of a line perpendicular to 2x-y+6=0 through the point (0, -2)
Step-by-step explanation:
Let's first rearrange so it's easier to look at: y = 2x +6
To find the perpendicular slope you need to find the negative reciprocal of m so flip and change the sign:
m= -1/2
Next plug in the point (0, -2) into the point-slope equation of a line:
[tex]y2 - y1 = \frac{ - 1}{2} (x2 - x1) \\ [/tex]
y-(-2) = -1/2 (x-0)
y + 2 = -1/2x
y = -1/2x - 2
Therefore the equation is y = -1/2x - 2
Next, verify that point C divides the line in the ratio required by using the distance formula to calculate AC and CB. Show your work.
Answer:
The ratio of AC : CB is 2 : 3
Step-by-step explanation:
Calculate AC and CB using coordinates A (1, 1), B(5, 3), and C(2.6, 1.8) and the distance formula:
Using distance formula, it is found that the ratio of AC : CB is 2 : 3
What is the distance between two points ( p,q) and (x,y)?The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
D = √[(x-p)² + (y-q)²] units.
Calculate AC and CB using coordinates A (1, 1), B(5, 3), and C(2.6, 1.8) and the distance formula:
AC = √[(2.6 -1)² + (1.8 - 1)²]
AC = √[(1.6 )² + (0.8)²]
AC = 2√(0.8)
Similarly, CB = √[(2.6 -5)² + (1.8 - 3)²]
CB = 3√(0.8)
Therefore, the ratio of AC : CB is 2 : 3
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Please help!! ASAP
find the volume of the cone. round to the nearest tenth
7in
4in
[ ? ]in3
Answer:
The answer is 117.3 [tex]in^{3}[/tex].
Step-by-step explanation:
To solve for the volume of the cone, use the cone volume formula, which is V = [tex]\frac{1}{3} \pi r^{2} h[/tex].
Next, plug in the information given from the problem, and the formula will look like V = [tex]\frac{1}{3} (\pi) (4 in^{2}) (7 in)[/tex].
Then, solve the equation, and the answer will be 117.3 [tex]in^{3}[/tex].
please help with this. it’s for my final grade
the answer is -1. hope this helps :)
Hideki is draining a 45-gallon aquarium at a rate of 15 gallons a per minute. What is the initial value of the linear
function that represents this situation?
• 15 gallons
• 30 gallons
• 45 gallons
• 60 gallons
Answer:15
Step-by-step explanation: i a siwishy fishey
20 POINTS PLEASE ANSWER!
Answer:
area = 15 units ^2
Step-by-step explanation:
you look at width times height (just count the blocks vertical and horizontal)
width = 3 units
height = 5 units
area = 15 units ^2
